{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 高斯模糊\n",
    "一维高斯函数\n",
    "$$\n",
    "G(x) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\exp\\left(-\\frac{(x - \\mu)^2}{2\\sigma^2}\\right)\n",
    "$$\n",
    "二维高斯函数\n",
    "$$\n",
    "G(r) = \\frac{1}{2\\pi\\sigma^2}\\exp\\left(-\\frac{(r - \\mu)^2}{2\\sigma^2}\\right)\n",
    "$$\n",
    "其中\n",
    "$$\n",
    "r = \\sqrt{x^2 + y^2}\n",
    "$$\n",
    "依据中心点，得到\n",
    "$$\n",
    "G(x, y) = \\frac{1}{2\\pi\\sigma^2}\\exp\\left(-\\frac{(x - \\frac{m}{2})^2 + (y - \\frac{n}{2})^2}{2\\sigma^2}\\right)\n",
    "$$\n",
    "计作\n",
    "$$\n",
    "\\Large G(x, y, \\sigma)\n",
    "$$\n",
    "# 特点\n",
    "- 拆分\n",
    "对于其他函数而言，$X$和$Y$的变换是同时的，但是高斯函数可以先变换然后相加即可，拆分了即时算力门槛。\n",
    "- 叠加\n",
    "针对一个$\\sigma$的变化，可以通过每次比较小的$\\sigma_i$重复进行高斯变换，得到的结果一致。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 高斯差分字塔\n",
    "- `M`: 图像X\n",
    "- `N`: 图像Y\n",
    "- `O`: 组数\n",
    "- `S`: 层数\n",
    "$$\n",
    "S = log_2\\left(min(M, N)\\right) - 3\n",
    "$$\n",
    "\n",
    "针对每一层采用的$\\sigma$\n",
    "$$\n",
    "\\Large \\sigma = \\sigma_0k^{o + s / S} \\quad o \\in O, s \\in s \n",
    "$$\n",
    "\n",
    "相同组之间$\\sigma$之间的取值比例为\n",
    "$$\n",
    "\\Large \\eta_o = \\frac{\\sigma_0k^{o + (s + 1) / s}}{\\sigma_0k^{o + s / S}} = k^{{1}/{S}}\n",
    "$$\n",
    "\n",
    "相同层之间的$\\sigma$比例为\n",
    "$$\n",
    "\\Large \\eta_s = \\frac{\\sigma_0k^{(o + 1) + s / S}}{\\sigma_0k^{o + s / S}} = k\n",
    "$$\n",
    "其中\n",
    "$$\n",
    "\\Large\\sigma_0 = \\sqrt{\\sigma_{init}^2 - \\sigma^2_{pre}}\n",
    "$$\n",
    "\n",
    "- $\\Large\\sigma_{init}$: 第$0$层的尺度，一般为$1.6$\n",
    "- $\\Large\\sigma_{pre}$: 被相机模糊后的尺度, 一般为$0.5$\n",
    "\n",
    "$$\n",
    "\\Large\\sigma_0 = \\sqrt{\\sigma_{init}^2 - \\sigma^2_{pre}} = \\sqrt{1.6^2 - 0.5^2} = 1.52\n",
    "$$\n",
    "\n",
    "也就是图像一开始就丢失了高频信息，所以推荐先把图像放大一倍，算作$-1$层\n",
    "$$\n",
    "\\Large\\sigma_0 = \\sqrt{\\sigma_{init}^2 - \\sigma^2_{pre}} = \\sqrt{1.6^2 - (2 \\times 0.5) ^2} = 1.25\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 分组\n",
    "每组之间的尺寸，缩小为原来的一般，也就是\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\left\\{\n",
    "\\begin{matrix}\n",
    "x \\Rightarrow \\frac{x}{2} \\\\\n",
    "y \\Rightarrow \\frac{y}{2} \\\\\n",
    "\\end{matrix}\n",
    "\\right.\n",
    "\\end{aligned}\n",
    "$$\n",
    "一般来说，采取去掉奇/偶行的操作进行缩小。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 分层\n",
    "在相同层的图像，尺寸都是相同的，区别在于高斯函数的区别。<br>\n",
    "$$\n",
    "\\sigma = \\sigma_0k^{o + s / S}\n",
    "$$\n",
    "把每层的图像和高斯函数卷积的结果计作\n",
    "$$\n",
    "L(x, y, \\sigma) = G(x, y, \\sigma) \\bigotimes I(x, y)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 尺度不变\n",
    "$LoG(Laplacion of Gaussian)$才具有真正的尺度不变性\n",
    "$$\n",
    "\\begin{aligned}\n",
    "LoG = &\\sigma^2 \\triangledown^2G \\\\\n",
    "\\approx & \\frac{G(x, y, k\\sigma) - G(x, y, \\sigma)}{\\sigma^2(k - 1)}\\\\\n",
    "\\therefore DoG =& G(x, y, k\\sigma) - G(x, y, \\sigma)\\\\ \n",
    "\\approx&(k-1)\\sigma^2\\triangledown^2G\\\\  =& (k - 1)LoG\n",
    "\\end{aligned} \n",
    "$$\n",
    "\n",
    "高斯差分金字塔中，就是使用$DoG$进行尺度的提取。\n",
    "$$\n",
    "\\begin{aligned}\n",
    "D(x, y, \\sigma) =& \\left[ G(x, y, k\\sigma) - G(x, y, \\sigma)\\right] \\bigotimes I(x, y) \\\\ \n",
    "=& L(x, y, k\\sigma) - L(x, y, \\sigma)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 差分\n",
    "\n",
    "\n",
    "每组之间直接做差，得到计算式。\n",
    "![](sub.png)\n",
    "\n",
    "可以看到，其中丢失了一张图片信息。\n",
    "- 特征\n",
    "\n",
    "\n",
    "对比上下两张图，一共\n",
    "$$\n",
    "8 + 2 \\times 9 = 26\n",
    "$$\n",
    "个点\n",
    "![](compare.png)\n",
    "\n",
    "由于每次都是需要在中间进行操作，丢失了上下两张图片信息。\n",
    "为了得到$S$张图片，实际在每一层的高斯金字塔中，我们总共需要准备$S+3$张图片"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 为什么上一组第一层是下一组倒数第三张的采样\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\Large\\sigma_{(o + 1, s = 1)}  \n",
    "=& \\Large\\sigma_0k^{(o + 1) + 1/S} \\\\\n",
    "=&  \\Large\\sigma_0k^{o + (S +1) / S} \\\\\n",
    "=&  \\Large\\sigma_0k^{o + (S +3 - 2) / S} \\\\\n",
    "=& \\Large\\sigma_{(o, s = -3)}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "两者的高斯变换一致，直接采样即可。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 关键点计算\n",
    "\n",
    "$$\n",
    "\\Large D(x) = D + \\frac{\\partial D^T}{\\partial X}X + \\frac{1}{2}X^T\\frac{\\partial^2 D}{\\partial X^2}X\n",
    "$$\n",
    "极值点求解为\n",
    "$$\n",
    "\\Large D(\\hat X) = D + \\frac{1}{2}\\frac{\\partial D^T}{\\partial X}X\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 去除边缘效应\n",
    "\n",
    "边缘对改函数有较大的响应，应该过滤一部分边缘响应，消除边缘影响\n",
    "\n",
    "$$\n",
    "H(x, y) = \\left[\n",
    "\\begin{aligned}\n",
    "D_{xx} & D_{xy} \\\\\n",
    "D_{xy} & D_{yy}\n",
    "\\end{aligned}\n",
    "\\right]\n",
    "$$\n",
    "同前面的办法一样，可以化为\n",
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "\\lambda_1 & 0 \\\\\n",
    "0 & \\lambda_2\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "\\quad \\left\\{\\begin{matrix}\n",
    "\\lambda_1 =& Det(H) =& \\lambda_1 + \\lambda_2 \\\\\n",
    "\\lambda_2 =& Tr(H) =& \\lambda_1 \\lambda_2\n",
    "\\end{matrix}\n",
    "\\right.\n",
    "$$\n",
    "假设$\\lambda_1 = \\gamma \\lambda_2$\n",
    "最小特征值和最大特征值之间的比例为\n",
    "$$\n",
    "\\frac{Tr(H)^2}{Det(H)} = \\frac{\\lambda_1 +\\lambda_2}{\\lambda_1 \\lambda_2} = \\frac{(\\gamma + 1)^2}{\\gamma}\n",
    "$$\n",
    "对阈值进行过滤，则\n",
    "$$\n",
    "\\frac{Tr(H)^2}{Det(H)} \\le \\frac{(\\gamma + 1)^2}{\\gamma}\n",
    "$$\n",
    "\n",
    "大佬$Lowe$论文中推荐$\\gamma=10$，也就是主曲率大于$10$将被过滤。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 像素大小和方向\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "value&: m(x, y) = \\sqrt{\\left(L(x+1, y) - L(x-1, y)\\right)^2 + \\left(L(x, y+1) - L(x, y-1)\\right)^2} \\\\\n",
    "direction&: \\theta(x,y) = \\tan^-1\\left[\\frac{L(x, y+1) - L(x, y-1)}{L(x+1, y) - L(x-1, y)}\\right]\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 方向统计分配\n",
    "- 选取一定范围\n",
    "- 对360度进行加权采样\n",
    "- 每36为一个柱，绘制共10个直方柱图\n",
    "- 为了鲁棒，最大值为主方向，$80\\%$为辅方向，仅保留两个方向\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 方向描述\n",
    "具体的点特征抽取以后，为了获取旋转不变性，应该对全部方向进行整合描述。\n",
    "\n",
    "一般对一个特征点取四周四个区域，每个区域确定八个方向上的方向响亮，以此作为特征点的描述。<br>\n",
    "实践中，以$4 \\times 4 \\times 8$的描述子效果最佳，也就是一个$128$维的描述子。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def image_show(image, model=None, location=None, gray=False, show=False):\n",
    "    if model is not None:\n",
    "        image = cv2.cvtColor(image, model)\n",
    "    if location is not None:\n",
    "        plt.subplot(location)\n",
    "    cmap = 'gray' if gray else None\n",
    "    plt.imshow(image, cmap=cmap)\n",
    "    if show or location is None:\n",
    "        plt.show()\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sift_bgr = cv2.imread('snow.png')\n",
    "sift_gray = cv2.cvtColor(sift_bgr, cv2.COLOR_BGR2GRAY)\n",
    "image_show(sift_gray, gray=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x2160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sift = cv2.xfeatures2d.SIFT_create()\n",
    "keypoints, descriptor = sift.detectAndCompute(sift_gray, None)\n",
    "plt.figure(figsize=(10,30))\n",
    "sift_show = cv2.drawKeypoints(sift_bgr, keypoints=keypoints, outImage=sift_bgr, \n",
    "                              flags=cv2.DRAW_MATCHES_FLAGS_DRAW_RICH_KEYPOINTS)\n",
    "image_show(sift_show, model=cv2.COLOR_BGR2RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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